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# Null and Alternative Hypotheses

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For each of the following pair of null and alternative hypotheses, determine whether the pair would be appropriate for a hypothesis test. If a pair is deemed inappropriate, explain why.

a. Ho: mu/10, H1: mu < 10
b. Ho: mu = 30, H1: mu &#8800; 30
c. Ho: mu > 90, H1: mu <= 90
d. Ho: mu <= 75, H1:mu <= 85
e. Ho: x-bar = 15, H1:x-bar < 15
f. Ho: x-bar/58, H1: x-bar &#8800; 58

https://brainmass.com/statistics/hypothesis-testing/null-and-alternative-hypotheses-208254

#### Solution Preview

For each of the following pair of null and alternative hypotheses, determine whether the pair would be appropriate for a hypothesis test. If a pair is deemed inappropriate, explain why.

a. Ho: &#61549;&#61487;10, H1: &#61549;< 10
b. Ho: &#61549; = 30, H1: &#61549; &#8800; 30
c. Ho: &#61549; > 90, H1: &#61549;&#61603; 90
d. Ho: &#61549; &#61603; 75, H1:&#61549; &#61603; 85
e. Ho: x-bar &#61487;15, H1:x-bar < 15
f. Ho: x-bar = 58, H1: x-bar &#8800; 58

A hypothesis test starts with a ...

#### Solution Summary

The solution defines null and alternative hypotheses, and explains whether or not each pair of hypotheses would be appropriate for a hypothesis test.

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